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NN scattering in higher-derivative formulation of baryon chiral perturbation theory

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Abstract

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out a new symmetry-preserving framework where the leading-order amplitude is calculated by solving renormalizable equations and corrections are taken into account perturbatively. Analogously to the KSW approach, the (leading) renormalization scale dependence to any finite order is absorbed in the redefinition of a finite number of parameters of the effective potential at given order. On the other hand, analogously to Weinberg’s power counting, the one-pion-exchange potential is of leading order and is treated non-perturbatively.

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References

  • S Weinberg (1990) Phys Lett B 251 288 Occurrence Handle10.1016/0370-2693(90)90938-3 Occurrence Handle1990PhLB..251..288W Occurrence Handle1061565

    Article  ADS  MathSciNet  Google Scholar 

  • S Weinberg (1991) Nucl Phys B 363 3 Occurrence Handle10.1016/0550-3213(91)90231-L Occurrence Handle1991NuPhB.363....3W

    Article  ADS  Google Scholar 

  • C Ordonez U van Kolck (1992) Phys Lett B 291 459 Occurrence Handle10.1016/0370-2693(92)91404-W Occurrence Handle1992PhLB..291..459O

    Article  ADS  Google Scholar 

  • PF Bedaque U van Kolck (2002) Ann Rev Nucl Part Sci 52 339 Occurrence Handle10.1146/annurev.nucl.52.050102.090637 Occurrence Handle2002ARNPS..52..339B

    Article  ADS  Google Scholar 

  • E Epelbaum (2006) Prog Part Nucl Phys 57 654 Occurrence Handle10.1016/j.ppnp.2005.09.002 Occurrence Handle2006PrPNP..57..654E

    Article  ADS  Google Scholar 

  • DB Kaplan MJ Savage MB Wise (1996) Nucl Phys B 478 629 Occurrence Handle10.1016/0550-3213(96)00357-4 Occurrence Handle1996NuPhB.478..629K

    Article  ADS  Google Scholar 

  • DB Kaplan MJ Savage MB Wise (1998) Phys Lett B 424 390 Occurrence Handle10.1016/S0370-2693(98)00210-X Occurrence Handle1998PhLB..424..390K

    Article  ADS  Google Scholar 

  • DB Kaplan MJ Savage MB Wise (1998) Nucl Phys B 534 329 Occurrence Handle10.1016/S0550-3213(98)00440-4 Occurrence Handle1998NuPhB.534..329K

    Article  ADS  Google Scholar 

  • Savage MJ [arXiv:nucl-th/9804034]

  • Gegelia J [arXiv:nucl-th/9806028]

  • J Gegelia (1999) Phys Lett B 463 133 Occurrence Handle10.1016/S0370-2693(99)00994-6 Occurrence Handle1999PhLB..463..133G

    Article  ADS  Google Scholar 

  • TD Cohen JM Hansen (1999) Phys Rev C 59 3047 Occurrence Handle10.1103/PhysRevC.59.3047 Occurrence Handle1999PhRvC..59.3047C

    Article  ADS  Google Scholar 

  • S Fleming T Mehen IW Stewart (2000) Nucl Phys A 677 313 Occurrence Handle10.1016/S0375-9474(00)00221-9 Occurrence Handle2000NuPhA.677..313F

    Article  ADS  Google Scholar 

  • SR Beane PF Bedaque MJ Savage U van Kolck (2002) Nucl Phys A 700 377 Occurrence Handle0985.81809 Occurrence Handle10.1016/S0375-9474(01)01324-0 Occurrence Handle2002NuPhA.700..377B

    Article  MATH  ADS  Google Scholar 

  • A Nogga RGE Timmermans U van Kolck (2005) Phys Rev C 72 054006 Occurrence Handle10.1103/PhysRevC.72.054006 Occurrence Handle2005PhRvC..72e4006N

    Article  ADS  Google Scholar 

  • E Epelbaum W Glöckle U-G Meißner (2005) Nucl Phys A 747 362 Occurrence Handle10.1016/j.nuclphysa.2004.09.107 Occurrence Handle2005NuPhA.747..362E

    Article  ADS  Google Scholar 

  • Lepage GP [arXiv:nucl-th/9706029]

  • J Gegelia (1998) Phys Lett B 429 227 Occurrence Handle10.1016/S0370-2693(98)00460-2 Occurrence Handle1998PhLB..429..227G

    Article  ADS  Google Scholar 

  • J Gegelia (1999) J Phys G 25 1681 Occurrence Handle10.1088/0954-3899/25/8/310 Occurrence Handle1999JPhG...25.1681G

    Article  ADS  Google Scholar 

  • TS Park K Kubodera DP Min M Rho (1999) Nucl Phys A 646 83 Occurrence Handle10.1016/S0375-9474(98)00614-9 Occurrence Handle1999NuPhA.646...83P

    Article  ADS  Google Scholar 

  • Lepage GP (1999) Conference summary, prepared for INT workshop on nuclear physics with effective field theory, Seattle, Washington, 25–26 Feb 1999

  • J Gegelia S Scherer (2006) Int J Mod Phys A 21 1079 Occurrence Handle10.1142/S0217751X06025237 Occurrence Handle2006IJMPA..21.1079G

    Article  ADS  Google Scholar 

  • Epelbaum E, Meißner U-G [arXiv:nucl-th/0609037]

  • D Djukanovic MR Schindler J Gegelia S Scherer (2005) Phys Rev D 72 045002 Occurrence Handle10.1103/PhysRevD.72.045002 Occurrence Handle2005PhRvD..72d5002D

    Article  ADS  Google Scholar 

  • J Gasser H Leutwyler (1984) Ann Phys (NY) 158 142 Occurrence Handle10.1016/0003-4916(84)90242-2 Occurrence Handle1984AnPhy.158..142G Occurrence Handle765730

    Article  ADS  MathSciNet  Google Scholar 

  • J Gasser ME Sainio A Švarc (1988) Nucl Phys B 307 779 Occurrence Handle10.1016/0550-3213(88)90108-3 Occurrence Handle1988NuPhB.307..779G

    Article  ADS  Google Scholar 

  • S Scherer HW Fearing (1995) Phys Rev D 52 6445 Occurrence Handle10.1103/PhysRevD.52.6445 Occurrence Handle1995PhRvD..52.6445S

    Article  ADS  Google Scholar 

  • AA Bel’kov AV Lanyov A Schaale S Scherer (1995) Acta Phys Slov 45 121

    Google Scholar 

  • Fettes N, Meißner U-G, Mojžiš M, Steininger S (2000) Ann Phys (NY) 283:273; (2001) 288:249

    Google Scholar 

  • G Ecker (1995) Prog Part Nucl Phys 35 1 Occurrence Handle10.1016/0146-6410(95)00041-G

    Article  Google Scholar 

  • Stoks VGJ, Klomp RAM, Rentmeester MCM, de Swart JJ (1993) Phys Rev C 48:792; [http://nn-online.org]

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Authors and Affiliations

  1. Institut für Kernphysik, Johannes-Gutenberg-Universität, Mainz, Germany

    D. Djukanovic, J. Gegelia, S. Scherer & M. R. Schindler

  2. High-Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia

    J. Gegelia

Authors
  1. D. Djukanovic
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  2. J. Gegelia
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  3. S. Scherer
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  4. M. R. Schindler
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Corresponding author

Correspondence to D. Djukanovic.

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Correspondence: D. Djukanovic, Institut für Kernphysik, Johannes-Gutenberg-Universität, 55099 Mainz, Germany

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Djukanovic, D., Gegelia, J., Scherer, S. et al. NN scattering in higher-derivative formulation of baryon chiral perturbation theory. Few-Body Systems 41, 141–155 (2007). https://doi.org/10.1007/s00601-007-0194-2

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  • DOI: https://doi.org/10.1007/s00601-007-0194-2

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